In the first half of this talk I will review the basic idea of the power-counting renormalizable theory of gravitation recently proposed by Horava. In the second half I will talk about some cosmological implications of the theory. In particular, I will show that the anisotropic scaling with a dynamical critical exponent z=3 leads to generation of scale-invariant cosmological perturbations and that the absence of local Hamiltonian constraint leads to a component similar to cold dark matter as integration ""constant""."